Construct an DFA automaton that recognizes the following language of strings over the alphabet {a,b}: the...
Construct an DFA automaton that recognizes the following
language of strings over the alphabet {a,b}:
the set of all strings over alphabet {a,b} that contain aa, but do
not contain aba.
Homework Answers
DFA
1 is the initial state . The final state and dead state has been
marked in the DFA attached below 
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Construct an DFA automaton that recognizes the following
language of strings over the alphabet {a,b}:
the...
Construct a regular expression that recognizes the following language of strings over the alphabet {0 1}:...
Construct a regular expression that recognizes the following language of strings over the alphabet {0 1}: The language consisting of the set of all bit strings that start with 00 or end with 101 (or both). Syntax The union is expressed as R|R, star as R*, plus as R+, concatenation as RR. Epsilon is not supported but you can write R? for the regex (R|epsilon).
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet...
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that the number of 0s is divisible by 2 and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a methodical way to do this: Figure out all the final states and label each with the shortest string it accepts, work backwards from these states to...
Construct regular expressions for the following languages over the alphabet {a, b}: a. Strings that do...
Construct regular expressions for the following languages over the alphabet {a, b}: a. Strings that do not begin with an “a”. b. Strings that contain both aa and bb as substrings.
Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string...
Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string except abba or aba}. Prove that your DFA recognizes exactly the specified language. 2. {w|w contains a substring either ababb or bbb}. Write the formal description for this DFA too.
Construct a Pushdown automaton that accepts the strings on alphabet {a,b,(, ) }, where parenthesis “(””)”...
Construct a Pushdown automaton that accepts the strings on alphabet {a,b,(, ) }, where parenthesis “(””)” matched in pairs. For example strings “((ab))”,”(a)b()” are in the language, while “((”,”(ab))” are not. Please determine if your PDA deterministic or nondeterministic. (With Proper Steps and explanation) PLEASE DO NOT COPY PASTE THE ANSWER FROM OTHER SOLUTIONS, AND PROVIDE PROPER EXPLANATION AND STEPS.
Build a DFA that accepts the described language: The set of strings over {a, b} in...
Build a DFA that accepts the described language: The set of strings over {a, b} in which every a is either immediately preceded or immediately followed by b, for example, baab, aba, and b.
1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the...
1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the following regular expression. 6* (ab U bc)(aa)* ccb* Which of the following strings are in the language: bccc, babbcaacc, cbcaaaaccbb, and bbbbaaaaccccbbb (Give reasons for why the string are or are not in the language). 2. Let G be a context free grammar in Chomsky normal form. Let w be a string produced by that grammar with W = n 1. Prove that the...
I need to construct a deterministic finite automata, DFA M, such that language of M, L(M),...
I need to construct a deterministic finite automata, DFA M, such that language of M, L(M), is the set of all strings over the alphabet {a,b} in which every substring of length four has at least one b. Note: every substring with length less than four is in this language. For example, aba is in L(M) because there are no substrings of at least 4 so every substring of at least 4 contains at least one b. abaaab is in...
Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of...
Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that there are no consecutive 0s, and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a way to approach the problem: First focus only building the DFA which accepts the language: As you build your DFA, label your states with an explanation of what the state actually represents in terms...
Construct a deterministic finite automaton accepting all and only strings in the language represented by the...
Construct a deterministic finite automaton accepting all and only strings in the language represented by the following regular expression: ((aa ∪ bb)c)*
1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the following regular expression. 6* (ab U bc)(aa)* ccb* Which of the following strings are in the language: bccc, babbcaacc, cbcaaaaccbb, and bbbbaaaaccccbbb (Give reasons for why the string are or are not in the language). 2. Let G be a context free grammar in Chomsky normal form. Let w be a string produced by that grammar with W = n 1. Prove that the...
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